Simplify \(\frac{4\frac{3}{4} - 6\frac{1}{4}}{4\frac{1}{5} \text{ of } 1\frac{1}{4}}\)

The H.C.F. of a²bx + ab²x and a²b - b² is

Correct 241.34(3 x 10-\(^3\))\(^2\) to 4 significant figures

At what rate would a sum of N100.00 deposited for 5 years raise an interest of N7.50?

Three children shared a basket of mangoes in such a way that the first child took \(\frac{1}{4}\) of the mangoes and the second \(\frac{3}{4}\) of the remainder. What fraction of the mangoes did the third child take?

Simplify and express in standard form \(\frac{0.00275 \times 0.0064}{0.025 \times 0.08}\)

Three brothers in a business deal share the profit at the end of a contact. The first received \(\frac{1}{3}\) of the profit and the second \(\frac{2}{3}\) of the remainder. If the third received the remaining N12000.00 how much profit did they share?

Simplify \(\sqrt{160r^2 + \sqrt{71r^4 + \sqrt{100r^8}}}\)

Simplify \(\sqrt{27}\) + \(\frac{3}{\sqrt{3}}\)

Simplify 3log\(_6\)9 + log\(_6\)12 + log\(_6\)64 - log\(_6\)72

Simplify (\(\frac{1}{x^{-1}} \div \frac{1}{y^{-1}}\))-1

If a = 2, b = -2 and c = -\(\frac{1}{2}\), evaluate (ab² - bc²)(a²c - abc)

If f(x - 4) = x² + 2x + 3, Find, f(2)

Factorize 9(x + y)² - 4(x - y)²

If a² + b² = 16 and 2ab = 7.Find all the possible values of (a - b)

Divide x3 - 2x2 - 5x + 6 by (x - 1)

If x + \(\frac{1}{x}\) = 4, find x² + \(\frac{1}{x^2}\)

What must be added to 4x\(^2\) - 4 to make it a perfect square?

Find the solution of the equation x - 8\(\sqrt{x}\) + 15 = 0

The perimeter of a rectangular lawn is 24m. If the area of the lawn is 35m²; how wide is the lawn?

A car painter charges N40.00 per day for himself and N10.00 per day for his assistant. if a fleet of cars were painted for N2000.00 and the painter worked 10days more than his assistant, how much did the assistant receive?

Simplify \(\frac{x}{x + y}\) + \(\frac{y}{x - y}\) - \(\frac{x^2}{x^2 - y^2}\)

Given that x² + y² + z² = 194, calculate z if x = 7 and \(\sqrt{y}\) = 3

Find the sum of the first twenty terms of the progression log a, log a², log a³.....

Find the sum of the first 18 terms of the progression 3, 6, 12......

At what value of x is the function x\(^2\) + x + 1 minimum?

The angle of a sector of s circle, radius 10.5cm, is 48°, Calculate the perimeter of the sector

Find the length of a side of a rhombus whose diagonals are 6cm and 8cm

Each of the interior angles of a regular polygon is 140°. How many sides has the polygon?

If Cos \(\theta\) = \(\frac{12}{13}\). Find \(\theta\) + cos²\(\theta\)

A cylinder pipe, made of metal is 3cm thick.If the internal radius of the pope is 10cm.Find the volume of metal used in making 3m of the pipe.

If the heights of two circular cylinders are in the ratio 2 : 3 and their base radii are in the ratio 9:8, What is the ratio of their volumes?

The locus of a point which moves so that it is equidistant from two intersecting straight lines is the?

4, 16, 30, 20, 10, 14 and 26 are represented on a pie chart. Find the sum of the angles of the bisectors representing all numbers equals to or greater than 16

The mean of ten positive numbers is 16. When another number is added, the mean becomes 18. Find the eleventh number

Below are the scores of a group of students in a test
\(\begin{array}{c|c} Scores & 1 & 2 & 3 & 4 & 5 & 6 \\ \hline \text{No. of students} & 1 & 4 & 5 & 6 & x & 2\end{array}\)
If the average scores is 3.5, find the value of x

Two numbers are removed at random from the numbers 1, 2, 3 and 4. What is the probability that the sum of the numbers removed is even?

Find the probability that a number selected at random from 41 to 56 is a multiply of 9

What is the equation of the quadratic function represented by the graph?

In the figure, PS = QS = RS and QSR - 100^o, find QPR